Word Problem
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A farmer has a field in the shape of a rectangle with a length of 24 meters and a width of 15 meters. What is the area of the field?
|
Use the area formula for a rectangle: A = length × width. Substituting: A = 24 × 15 = 360 square meters.
| 360
|
A train departs from City A at 9:00 AM, traveling at 80 km/h. Another train departs from City B at 11:00 AM, traveling at 100 km/h. If the cities are 540 km apart, when will they meet?
|
First train's head start: 2 hours × 80 km/h = 160 km. Remaining distance: 540 - 160 = 380 km. Relative speed: 100 - 80 = 20 km/h. Time to meet: 380 / 20 = 19 hours after 9:00 AM → 4:00 AM next day.
| 4
|
A triangle has angles measuring 35° and 75°. What is the measure of the third angle?
|
Sum of angles in a triangle is 180°. Third angle = 180 - (35 + 75) = 70°.
| 70
|
A theater has 20 rows with 30 seats in each row. If all seats are full and tickets are $15 each, how much revenue is collected?
|
Total seats: 20 × 30 = 600. Revenue: 600 × $15 = $9,000.
| 9,000
|
A cylindrical water tank has a radius of 7 meters and a height of 10 meters. What is its volume rounded to the nearest integer?
|
Use volume formula: V = πr²h. V = 3.1416 × 7² × 10 ≈ 1539 cubic meters.
| 1,539
|
A shop offers a 20% discount on an item originally priced at $250. What is the new price after the discount?
|
Discount = 20% of 250 = 50. New price = 250 - 50 = $200.
| 200
|
A plane covers 3,600 km in 4 hours. What is its average speed?
|
Speed = Distance / Time. 3600 / 4 = 900 km/h.
| 900
|
A ladder leans against a wall reaching a height of 12 meters, with its base 5 meters from the wall. What is the ladder’s length?
|
Use Pythagorean theorem: L² = 12² + 5² = 144 + 25 = 169. L = √169 = 13 meters.
| 13
|
A basketball team played 25 games and won 18. What percentage of games did they win?
|
Percentage = (Wins / Total Games) × 100. (18 / 25) × 100 = 72%.
| 72
|
A river flows at 4 km/h. A boat takes 3 hours to travel downstream 36 km. How fast is the boat in still water?
|
Speed downstream = 36 km / 3 h = 12 km/h. Boat speed = (12 + 4) / 2 = 8 km/h.
| 8
|
A construction worker lays 250 bricks per hour. How many bricks will he lay in an 8-hour shift?
|
Multiply rate by time: 250 × 8 = 2,000 bricks.
| 2,000
|
A book has 432 pages. If you read 36 pages per day, how many days will it take to finish the book?
|
Divide total pages by pages per day: 432 / 36 = 12 days.
| 12
|
A farm has 48 cows and 72 chickens. How many legs are there in total?
|
Cows: 48 × 4 = 192. Chickens: 72 × 2 = 144. Total: 192 + 144 = 336 legs.
| 336
|
A factory produces 15,000 widgets per day. How many widgets will it produce in 24 days?
|
Multiply daily production by number of days: 15,000 × 24 = 360,000.
| 360,000
|
A football match lasts 90 minutes. If the first half is 45 minutes and there is a 15-minute break, how long is the second half?
|
Second half = Total match time - (First half + Break) = 90 - (45 + 15) = 30 minutes.
| 30
|
A restaurant orders 16 crates of oranges, each containing 24 oranges. How many oranges are there in total?
|
Multiply crates by oranges per crate: 16 × 24 = 384.
| 384
|
A hiking trail is 18 kilometers long. If a hiker walks at 6 km/h, how many hours will it take to complete the trail?
|
Time = Distance / Speed. 18 / 6 = 3 hours.
| 3
|
A warehouse has 120 large boxes and 450 small boxes. How many boxes are there in total?
|
Total boxes = 120 + 450 = 570.
| 570
|
A music concert has 850 attendees. If each attendee pays $35 for a ticket, what is the total revenue?
|
Total revenue = 850 × 35 = 29,750.
| 29,750
|
A movie theater has 200 seats, and 80% of them are occupied. How many seats are occupied?
|
Seats occupied = 80% of 200 = 160.
| 160
|
A factory produces 72 machines per week. If production increases by 25%, how many machines will be produced in 4 weeks?
|
Increased weekly production = 72 × 1.25 = 90 machines. Total in 4 weeks = 90 × 4 = 360 machines.
| 360
|
A large water reservoir has a capacity of 250,000 liters. If 1,750 liters are used daily, how many full days until it is empty?
|
Days = Total capacity / Daily usage = 250,000 / 1,750 = 142 days.
| 142
|
A school is organizing a trip for 225 students. If each bus holds 30 students, how many buses are needed?
|
Total buses = 225 / 30 = 8 (since 7.5 rounds up to 8).
| 8
|
A factory packs 2,400 chocolate bars into boxes, each containing 48 bars. How many boxes are filled?
|
Total boxes = 2,400 / 48 = 50.
| 50
|
A cinema screen is 18 meters wide and 9 meters tall. What is the total screen area?
|
Area = Width × Height = 18 × 9 = 162 square meters.
| 162
|
A shopping mall has 8 floors, each with 36 shops. If 20% of the shops are vacant, how many shops are occupied?
|
Total shops = 8 × 36 = 288. Occupied = 80% of 288 = 230.
| 230
|
A train has 15 carriages, each with 80 seats. If 1,020 passengers board, how many empty seats remain?
|
Total seats = 15 × 80 = 1,200. Empty seats = 1,200 - 1,020 = 180.
| 180
|
A software company charges $1,200 per license. A business purchases 35 licenses and receives a $5,000 discount. What is the total cost?
|
Total cost = (35 × 1,200) - 5,000 = 42,000 - 5,000 = $37,000.
| 37,000
|
A national park has a rectangular trail that is 5 km long and 3 km wide. If a hiker walks 4 full laps, how many kilometers does he walk?
|
One lap = Perimeter = 2(5 + 3) = 16 km. Total distance = 16 × 4 = 64 km.
| 64
|
A building has 22 floors, each with 18 apartments. If each apartment has 4 residents, how many people live in the building?
|
Total apartments = 22 × 18 = 396. Total residents = 396 × 4 = 1,584.
| 1,584
|
A train travels 120 miles per hour. If it travels for 7 hours without stopping, how far does it travel?
|
Multiply speed by time: 120 × 7 = 840.
| 840
|
A factory produces 3,200 toys per day. How many toys are produced in 25 days?
|
Multiply daily production by days: 3,200 × 25 = 80,000.
| 80,000
|
A farmer has 24 fields, and each field has 35 rows of crops. If each row has 18 plants, how many plants are there in total?
|
Multiply fields by rows per field, then by plants per row: 24 × 35 × 18 = 15,120.
| 15,120
|
A concert hall has 64 sections of seating, each with 28 rows, and each row has 32 seats. How many seats are there in total?
|
Multiply sections by rows per section, then by seats per row: 64 × 28 × 32 = 57,344.
| 57,344
|
A book has 480 pages. If a person reads 16 pages per day, how many days will it take to finish the book?
|
Divide total pages by pages per day: 480 ÷ 16 = 30.
| 30
|
A baker bakes 84 loaves of bread per batch. If they bake 6 batches per day for 20 days, how many loaves are baked in total?
|
Multiply loaves per batch by batches per day, then by days: 84 × 6 × 20 = 10,080.
| 10,080
|
A cyclist travels 45 miles per day. How many miles will they travel in 18 days?
|
Multiply miles per day by days: 45 × 18 = 810.
| 810
|
A warehouse stores 125 boxes per shelf. If there are 48 shelves, how many boxes are in the warehouse?
|
Multiply boxes per shelf by number of shelves: 125 × 48 = 6,000.
| 6,000
|
A printer prints 72 pages per minute. How many pages will it print in 3 hours?
|
Convert hours to minutes (3 × 60 = 180), then multiply by pages per minute: 180 × 72 = 12,960.
| 12,960
|
A parking lot has 95 spaces per level. If the lot has 8 levels, how many cars can park there?
|
Multiply spaces per level by number of levels: 95 × 8 = 760.
| 760
|
A spaceship travels at 25,000 miles per hour. How far does it travel in 4 hours?
|
Multiply speed by time: 25,000 × 4 = 100,000.
| 100,000
|
A landscaper plants 36 trees per week. How many trees will be planted in 52 weeks?
|
Multiply trees per week by weeks: 36 × 52 = 1,872.
| 1,872
|
A fruit vendor sells 250 apples per day. How many apples are sold in 40 days?
|
Multiply daily sales by days: 250 × 40 = 10,000.
| 10,000
|
A runner completes 5 miles per training session. If they train 120 times in a year, how many miles do they run?
|
Multiply miles per session by training sessions: 5 × 120 = 600.
| 600
|
A gym membership costs $50 per month. How much is paid in 18 months?
|
Multiply cost per month by months: 50 × 18 = 900.
| 900
|
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